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676124420704 = 253137117115731
BaseRepresentation
bin10011101011011000010…
…01111110101001100000
32101122012021101022011021
421311230021332221200
542034200322430304
61234335100455224
766563664515425
oct11655411765140
92348167338137
10676124420704
11240819677587
12ab05484a514
134b9b1b84a25
1424a20415d4c
15128c2e91a54
hex9d6c27ea60

676124420704 has 96 divisors (see below), whose sum is σ = 1412490949632. Its totient is φ = 318022848000.

The previous prime is 676124420701. The next prime is 676124420723. The reversal of 676124420704 is 407024421676.

676124420704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676124420701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42972519 + ... + 42988249.

It is an arithmetic number, because the mean of its divisors is an integer number (14713447392).

Almost surely, 2676124420704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676124420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706245474816).

676124420704 is an abundant number, since it is smaller than the sum of its proper divisors (736366528928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

676124420704 is a wasteful number, since it uses less digits than its factorization.

676124420704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16980 (or 16972 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 676124420704 in words is "six hundred seventy-six billion, one hundred twenty-four million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1171 1184 2294 2342 4588 4684 9176 9368 15731 18352 18736 31462 36301 36704 37472 43327 62924 72602 86654 125848 145204 173308 251696 290408 346616 487661 503392 580816 582047 693232 975322 1161632 1164094 1343137 1386464 1950644 2328188 2686274 3901288 4656376 5372548 7802576 9312752 10745096 15605152 18043457 18421001 18625504 21490192 36086914 36842002 42980384 72173828 73684004 144347656 147368008 288695312 294736016 571051031 577390624 589472032 681577037 1142102062 1363154074 2284204124 2726308148 4568408248 5452616296 9136816496 10905232592 18273632992 21128888147 21810465184 42257776294 84515552588 169031105176 338062210352 676124420704